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In a survey of 60 people, it was found t...

In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 read all three newspapers. Find:
the number of people who read at least one of the newspapers.

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The correct Answer is:
52
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In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 read all three newspapers. Find: the number of people who read exactly one newspaper.

In a town of 10000 families, it was found that 40% families buy newspaper A, 20% families buy newspaper B, 10 % families buy newspaper C, 5% families buy A and B, 3% buy B and C and 4 % buy A and C. If 2% families buy all the three newspaper. Find (i) the number of families which buy newspaper A only.

In a city three daily newspapers X,Y,Z are published, 65% of the citizens read X, 54% read Y, 45% read Z, 38% read X and Y, 32% read Y and Z, 28% read X and Z , 12% do not read any one of these three papers. If the total number of people in the city be 1000000 find the number of citizens who read all the three newspapers. [You may use a Venn diagram or a standard formula for the enumeration of elements of sets.]

In a survey it was found that 76 men read magazine A, 30 read magazine B, 40 read magazine C and 6 men read all the thee magazines. If the total number of men who read magazines be 116, find how many men read exactly two of the three magazines.

In a hostel, 60% of the students read Hindi newspaper, 40% read English newspaper and 20% read both Hindi and English newspapers. A student is selected at random. (a) Find the probability that she reads neither Hindi nor English newspapers. (b) If she reads Hindi newspaper, find the probability that she reads English newspaper (c) If she reads English newspaper, find the probability that she reads Hindi newspaper.

In a certain city, only 2 newspapers A and B are published. It is known that 25% of the city population read A and 20% read B while 8% reads both A and B. It is also known that 30% of those who read A but not B look into advertisement and 40% of those who read B but not A look into advertisements while 50% of those who read both A and B look into advertisements. What is the percentage of the population who read an advertisement?

A person with spectacles of power 3m ^(-1) can see distinctly the letters of newspaper placed at a distance of 25 cm from the eye. At what distance should the newspaper be kept to be able to read it without spectacles?

NCERT BANGLISH-SETS-MISCELLANEOUS EXERCISE ON CHAPTER 1
  1. In each of the following, determine whether the statement is true or f...

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  2. Let A, B, and C be the sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C....

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  3. Show that the following four conditions are equivalent : A ⊂ B

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  4. Show that the following four conditions are equivalent : A – B = φ

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  5. Show that the following four conditions are equivalent : A ∪ B = B

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  6. Show that the following four conditions are equivalent : A ∩ B = A

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  7. Show that if A ⊂ B, then C – B ⊂ C – A.

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  8. Assume that P ( A ) = P ( B ). Show that A = B

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  9. Is it true that for any sets A and B, P ( A ) ∪ P ( B ) = P ( A ∪ B )?...

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  10. Show that for any sets A and B, A = ( A ∩ B ) ∪ ( A – B ) and A ∪ ...

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  11. Using properties of sets, show that A ∪ ( A ∩ B ) = A

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  12. Using properties of sets, show that A ∩ ( A ∪ B ) = A.

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  13. Show that A ∩ B = A ∩ C need not imply B = C.

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  14. Let A and B be sets. If A ∩ X = B ∩ X = φ and A ∪ X = B ∪ X for some s...

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  15. Find sets A, B and C such that A ∩ B, B ∩ C and A ∩ C are non-empty s...

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  16. In a survey of 600 students in a school, 150 students were found to be...

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  17. In a group of students, 100 students know Hindi, 50 know English and 2...

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  18. In a survey of 60 people, it was found that 25 people read newspaper H...

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  19. In a survey of 60 people, it was found that 25 people read newspaper H...

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  20. In a survey it was found that 21 people liked product A, 26 liked prod...

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